Renormalization-group trajectories from resonance factorized S matrices.

We propose and investigate a large class of models possessing resonance factorized S matrices. The associated Casimir energy describes a rich pattern of renormalization-group trajectories related to flows in the coset models based on the simply laced Lie algebras. From a simple resonance S matrix satisfying the «O 3 property» we predict new flows in nonunitary minimal models